ANALYTIC CHARACTERIZATION OF MEASUREMENT UNCERTAINTY AND INITIAL ORBIT DETERMINATION ON ORBITAL ELEMENT UNCERTAINTY AND CORRELATION

This paper applies the transformation of variables technique to analytically map measurement domain probability density functions to nonlinearly related, but commonly utilized state domains for space surveillance. For full state construction, the Herrick-Gibbs initial orbit determination routine is employed with the transformation of variables technique applied to assess state uncertainty and correlation resulting from the application of the routine for objects residing in and transiting low Earth orbit. Results are reported for the Cartesian, osculating and mean orbital element domains and compared against Monte Carlo simulation results and the commonly utilized similarity transformation. 2013 2013 California Institute of Technology.

ANALYTIC CHARACTERIZATION OF MEASUREMENT UNCERTAINTY AND INITIAL ORBIT DETERMINATION ON ORBITAL ELEMENT UNCERTAINTY AND CORRELATION Conference Paper